Find the area of the interior of the four-petaled rose r = sin(20)

Q: Differentiate. y = sec(θ) tan(θ)

A: Given y=sec θ. tan θ⇒dydθ=ddθsecθ.tanθ

Q: 5. (tan2x + cot2x)² dx

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Q: In right triangle AABCwith the right angle at C, sin A = 3x + land cosB 4x – 7 %3D %3D Which…

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Q: 6 ブ snx dx=

A: We can make it easier for you.

Q: i) Pre that at the Point x- of the Crerve Y: 4m-S, the radices of cervatune f' 5is

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Q: Find sin (2)dr (hint: use a half-angle formula twice).

A: Note: sin2x=2sinxcosx  Cos2x=1-2sin^2(x) And sin^2(x)+cos^2(x)=1 by using these formulas we solve…

Q: 2 (tan²x + 1)√sin2x.dx= (tan², 0

A: Find your answer below

Q: 1. Use the graph below to answer the following questions. 10 A) Write a cosine function: B) Write a…

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Q: Simplify secA (1-sinA)(secA+tanA)

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Q: Find : sin (x)

A: We use Trigonometry ratios

Q: Assume sin(0) = — 27 where 3 < 0 <TT. Compute sin(). - 46 The angle is in quadrant III✓ √ 1387 46…

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Q: Differentiate sin y =a'

A: Consider  y=asin−1x2

Q: | sin r cos“ rdr

A: Given : ∫sin5xcos4xdx

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: sinty

A: This is a basic integration problem

Q: sin (e3") dr .

A:

Q: sin6x 5. S 4sin?3xcos3x

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Q: Sin(theta)=0.705

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Q: sinx find: - dx 3 cos2x +1

A: find ∫sinxcos2x+13 dx first lets simplify it and then find the integral

Q: Kw) - J«(s=u°). Use the Product Rule to differentiate %3D

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.